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Confoliations

William P. Thurston

5/5 ( ratings)

This book presents the first steps of a theory of confoliations designed to link geometry and topology of three-dimensional contact structures with the geometry and topology of codimension-one foliations on three-dimensional manifolds. Developing almost independently, these theories at first glance belonged to two different worlds: The theory of foliations is part of topology and dynamical systems, while contact geometry is the odd-dimensional brother of symplectic geometry. However, both theories have developed a number of striking similarities. Confoliations--which interpolate between contact structures and codimension-one foliations--should help us to understand better links between the two theories. These links provide tools for transporting results from one field to the other.

Language: English

Pages: 66

Format: Hardcover

Publisher: American Mathematical Society(RI)

Release: February 01, 1998

ISBN: 0821807765

ISBN 13: 9780821807767

Confoliations

William P. Thurston

5/5 ( ratings)

This book presents the first steps of a theory of confoliations designed to link geometry and topology of three-dimensional contact structures with the geometry and topology of codimension-one foliations on three-dimensional manifolds. Developing almost independently, these theories at first glance belonged to two different worlds: The theory of foliations is part of topology and dynamical systems, while contact geometry is the odd-dimensional brother of symplectic geometry. However, both theories have developed a number of striking similarities. Confoliations--which interpolate between contact structures and codimension-one foliations--should help us to understand better links between the two theories. These links provide tools for transporting results from one field to the other.

Language: English

Pages: 66

Format: Hardcover

Publisher: American Mathematical Society(RI)

Release: February 01, 1998

ISBN: 0821807765

ISBN 13: 9780821807767

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